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                导弹防御塔                </h1>
                <p>时间限制：2s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">Freda的城堡&mdash;&mdash;<br />
&ldquo;Freda，城堡外发现了一些入侵者！&rdquo;<br />
&ldquo;喵...刚刚探究完了城堡建设的方案数，我要歇一会儿嘛lala~&rdquo;<br />
&ldquo;可是入侵者已经接近城堡了呀！&rdquo;<br />
&ldquo;别担心，rainbow，你看呢，这是我刚设计的导弹防御系统的说~&rdquo;<br />
&ldquo;喂...别卖萌啊&hellip;&hellip;&rdquo;</span></p>
<p><span style="font-size: medium">Freda控制着N座可以发射导弹的防御塔。每座塔都有足够数量的导弹，但是每座塔每次只能发射一枚。在发射导弹时，导弹需要T1秒才能从防御塔中射出，而在发射导弹后，发射这枚导弹的防御塔需要T2分钟来冷却。<br />
所有导弹都有相同的匀速飞行速度V，并且会沿着距离最短的路径去打击目标。计算防御塔到目标的距离Distance时，你只需要计算水平距离，而忽略导弹飞行的高度。导弹在空中飞行的时间就是 (Distance/V) 分钟，导弹到达目标后可以立即将它击毁。<br />
现在，给出N座导弹防御塔的坐标，M个入侵者的坐标，T1、T2和V，你需要求出至少要多少分钟才能击退所有的入侵者。</span></p></p><hr/><h3>输入格式</h3><p><p><span style="font-size: medium"><br />
第一行五个正整数N,M,T1,T2,V。<br />
接下来M行每行两个整数，代表入侵者的坐标。<br />
接下来N行每行两个整数，代表防御塔的坐标。</span></p></p><hr/><h3>输出格式</h3><p><p><span style="font-size: medium">输出一个实数，表示最少需要多少分钟才能击中所有的入侵者，四舍五入保留六位小数。</span></p></p><hr/><h3>样例输入</h3><pre>3 3 30 20 1
0 0
0 50
50 0
50 50
0 1000
1000 0
</pre><hr/><h3>样例输出</h3><pre>91.500000

</pre><hr/><h3>提示</h3><p><p>对于100%的数据， 1&le;N&le;50, 1&le;M&le;50，坐标绝对值不超过10000，T1,T2,V不超过2000.</p></p><hr/><h3>题目来源</h3><p>Poetize3</p>
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